Orbifold groupoids

Davide Gaiotto; Justin Kulp

doi:10.1007/JHEP02(2021)132

Orbifold groupoids

Davide Gaiotto
, Justin Kulp

Simons Center for Geometry & Physics

Stony Brook University

Perimeter Institute for Theoretical Physics

Research output: Contribution to journal › Article › peer-review

220 Scopus citations

Abstract

We review the properties of orbifold operations on two-dimensional quantum field theories, either bosonic or fermionic, and describe the “Orbifold groupoids” which control the composition of orbifold operations. Three-dimensional TQFT’s of Dijkgraaf-Witten type will play an important role in the analysis. We briefly discuss the extension to generalized symmetries and applications to constrain RG flows.

Original language	English
Article number	132
Journal	Journal of High Energy Physics
Volume	2021
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2021)132
State	Published - Feb 2021

Keywords

Anomalies in Field and String Theories
Discrete Symmetries
Gauge Symmetry
Global Symmetries

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10.1007/JHEP02(2021)132

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abstract = "We review the properties of orbifold operations on two-dimensional quantum field theories, either bosonic or fermionic, and describe the {\textquotedblleft}Orbifold groupoids{\textquotedblright} which control the composition of orbifold operations. Three-dimensional TQFT{\textquoteright}s of Dijkgraaf-Witten type will play an important role in the analysis. We briefly discuss the extension to generalized symmetries and applications to constrain RG flows.",

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AB - We review the properties of orbifold operations on two-dimensional quantum field theories, either bosonic or fermionic, and describe the “Orbifold groupoids” which control the composition of orbifold operations. Three-dimensional TQFT’s of Dijkgraaf-Witten type will play an important role in the analysis. We briefly discuss the extension to generalized symmetries and applications to constrain RG flows.

KW - Anomalies in Field and String Theories

KW - Discrete Symmetries

KW - Gauge Symmetry

KW - Global Symmetries

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DO - 10.1007/JHEP02(2021)132

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Orbifold groupoids

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Keywords

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